Question

simplify cos (45- theta) cos (45+ theta)- sin (45-theta)sin(45+theta)​

Answer 1

Answer:

sin(45

o

+θ)−cos(45

o

−θ)

⇒sin5

o

cosθ+cos45

o

sinθ−cos45

o

cosθ−sin45

o

sinθ

=

2

1

(cosθ+sinθ−cosθ−sinθ)

=0.

Step-by-step explanation:

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Answer 2

(cos45 cosθ + sin45 sinθ) (cos45 cosθ - sin45 sinθ) - (sin45 cosθ - cos45 sinθ) (sin45 cosθ+cos45 sinθ)
= 1/root2 [ (cosθ + sinθ) (cosθ - sinθ) - (cosθ - sinθ) (cosθ + sinθ) ]
= 1/root2 (0)
= 0